Tight contact structures and taut foliations

Abstract

We show the equivalence of several notions in the theory of taut foliations and the theory of tight contact structures. We prove equivalence, in certain cases, of existence of tight contact structures and taut foliations.

Published in Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol4/paper7.abs.html

References in corpus (4)

• On the classification of tight contact structures I
• Structures de contact en dimension trois et bifurcations des feuilletages de surfaces
• Tight contact structures and taut foliations
• Symplectic fillings and positive scalar curvature

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• Constructions controlees de champs de Reeb et applications
• The Chord Problem and a new method of filling by pseudoholomorphic curves
• Convex decomposition theory
• On growth rate and contact homology
• A class of tight contact structures on Sigma_2 x I
• Rectangular diagrams of surfaces: distinguishing Legendrian knots
• Pinwheels and bypasses
• Overtwisted discs in planar open books
• On the Gabai-Eliashberg-Thurston theorem
• Contact Structures on elliptic 3-manifolds
• Contact structures on open 3-manifolds
• An exposition of the equivalence of Heegaard Floer homology and embedded contact homology